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NEW METHODS FOR CHAOTIC DYNAMICS (World Scientific Series on Nonlinear Science: Series a, 58) - Hardcover
This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments.The transition is described from the Feigenbaum cascade of period doubling bifurcations of the original singular cycle to the complete or incomplete Sharkovskii subharmonic cascade of bifurcations of stable limit cycles with arbitrary period and finally to the complete or incomplete homoclinic cascade of bifurcations.The book presents a distinct view point on the principles of formation, scenarios of occurrence and ways of control of chaotic motion in nonlinear dissipative dynamical systems. All theoretical results and conclusions of the theory are strictly proved and confirmed by numerous examples, illustrations and numerical calculations.
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Bringing new interesting ideas, this monograph is a valuable contribution to the existing literature on the subject -- Zentralblatt MATH
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- PublisherWorld Scientific Pub Co Inc
- Publication date2006
- ISBN 10 9812568174
- ISBN 13 9789812568175
- BindingHardcover
- Number of pages384
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New Methods for Chaotic Dynamics
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ISBN 13: 9789812568175
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New Methods for Chaotic Dynamics
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ISBN 10: 9812568174
ISBN 13: 9789812568175
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Book Description Hardcover. Condition: Brand New. illustrated edition. 384 pages. 9.50x6.25x1.25 inches. In Stock. Seller Inventory # __9812568174
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New Methods for Chaotic Dynamics
Published by
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New Methods For Chaotic Dynamics (Hardcover)
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Book Description Hardcover. Condition: new. Hardcover. This book presents a new theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments.The transition is described from the Feigenbaum cascade of period doubling bifurcations of the original singular cycle to the complete or incomplete Sharkovskii subharmonic cascade of bifurcations of stable limit cycles with arbitrary period and finally to the complete or incomplete homoclinic cascade of bifurcations.The book presents a distinct view point on the principles of formation, scenarios of occurrence and ways of control of chaotic motion in nonlinear dissipative dynamical systems. All theoretical results and conclusions of the theory are strictly proved and confirmed by numerous examples, illustrations and numerical calculations. Presents a theory on the transition to dynamical chaos for two-dimensional nonautonomous, and three-dimensional, many-dimensional and infinitely-dimensional autonomous nonlinear dissipative systems of differential equations including nonlinear partial differential equations and differential equations with delay arguments. Shipping may be from our UK warehouse or from our Australian or US warehouses, depending on stock availability. Seller Inventory # 9789812568175
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